Suppose That $T ( x , y ) = x ^ { 2 } + 3 y ^ { 2 } - x$

question 61

Essay

Suppose that $T ( x , y ) = x ^ { 2 } + 3 y ^ { 2 } - x$ is the temperature (in degrees Celsius)at the point $( x , y )$ (where x and y are in meters).If you are standing at the point $( - 2,1 )$ and proceed in the direction of the point $( - 6 , - 3 )$ , will the temperature be increasing or decreasing at the moment you begin? At what rate? Give your answer to 4 decimal places.

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